Not understanding this relationship

The textbook says
You can verify that the differential equation for the family y= Cx2 can be written as y' = 2y/x
I think this was stuff in introduction to Diff Q but i don't understand how to look at y= Cx2 and determine it equals y' = 2y/x

Re: Not understanding this relationship

Originally Posted by bustacap09

The textbook says
You can verify that the differential equation for the family y= Cx2 can be written as y' = 2y/x
I think this was stuff in introduction to Diff Q but i don't understand how to look at y= Cx2 and determine it equals y' = 2y/x

Thank you for all the help

, so .

Now differentiating we find , which we have already shown is equal to .